First of all, tell us how did you prepare for the PAT. Practice makes perfect. What material did you use to practice?
For QR, the math destroyer is pretty representative of the actual DAT IMO. It is definitely not the most important section ever, but you do need to set time aside for it to do well on it. I recommend doing the first 3~4 tests one question at a time and then immediately look at the answer. That'd be your teaching tool. After you get familiar with it, try to do it like the actual QR and TIME yourself. You said the QR problems were extremely long; it shouldn't be. Practice enough to get quick at it.